From Rates to Ratios
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Lesson Plans and Worksheets for Grade 6
Lesson Plans and Worksheets for all Grades
More Lessons for Grade 6
Common Core For Grade 6
Examples, videos, and solutions to help Grade 6 students learn how to find ratios when given a rate.
Lesson 17 Student Outcomes
• Given a rate, students find ratios associated with the rate, including a ratio where the second term is one and a ratio where both terms are whole numbers.
• Students recognize that all ratios associated to a given rate are equivalent because they have the same value.
Lesson 17 Summary
• A rate of 2/3 gal/min corresponds to the unit rate of 2/3 and also corresponds to the ratio 2:3.
• All ratios associated to a given rate are equivalent because they have the same value.
NYS Math Module 1 Grade 6 Lesson 17 Classwork
Given a rate, you can calculate the unit rate and associated ratios. Recognize that all ratios associated to a given rate are equivalent because they have the same value.
Example 1
Write each ratio as a rate.
a. The ratio of miles to hours is 434 to 7.
b. The ratio of laps to minutes is 5 to 4.
Example 2
a. Complete the model below using the ratio from Example 1, part (b).
b. Complete the model below now using the rate listed below.
3. Dave can clean pools at a constant rate of 3/5 pools/hour.
a. What is the ratio of pools to hours?
b. How many pools can Dave clean in 10 hours?
c. How long does it take Dave to clean 15 pools?
4. Emeline can type at a constant rate of 1/4 pages/minute.
a. What is the ratio of pages to minutes?
b. Emeline has to type a 5-page article but only has 18 minutes until she reaches the deadline. Does Emeline have enough time to type the article? Why or why not?
NYS Math Module 1 Grade 6 Lesson 17 Problem Set
1. Once a commercial plane reaches the desired altitude, the pilot often travels at a cruising speed. On average, the cruising speed is 570 miles/hour. If a plane travels at a cruising speed for 7 hours, how far does the plane travel while cruising at this speed?
2. Denver, Colorado often experiences snow storms resulting in multiple inches of accumulated snow. During the last snowstorm, the snow accumulated at 4/5 inch/hour. If the snow continues at this rate for 10 hours, how much snow will accumulate? This video covers lessons 16 and 17. Lesson 17 starts at 16:00
Lesson Plans and Worksheets for Grade 6
Lesson Plans and Worksheets for all Grades
More Lessons for Grade 6
Common Core For Grade 6
Examples, videos, and solutions to help Grade 6 students learn how to find ratios when given a rate.
New York State Common Core Math Grade 6, Module 1, Lesson 17
Grade 6, Module 1, Lesson 17 WorksheetsLesson 17 Student Outcomes
• Given a rate, students find ratios associated with the rate, including a ratio where the second term is one and a ratio where both terms are whole numbers.
• Students recognize that all ratios associated to a given rate are equivalent because they have the same value.
Lesson 17 Summary
• A rate of 2/3 gal/min corresponds to the unit rate of 2/3 and also corresponds to the ratio 2:3.
• All ratios associated to a given rate are equivalent because they have the same value.
NYS Math Module 1 Grade 6 Lesson 17 Classwork
Given a rate, you can calculate the unit rate and associated ratios. Recognize that all ratios associated to a given rate are equivalent because they have the same value.
Example 1
Write each ratio as a rate.
a. The ratio of miles to hours is 434 to 7.
b. The ratio of laps to minutes is 5 to 4.
Example 2
a. Complete the model below using the ratio from Example 1, part (b).
b. Complete the model below now using the rate listed below.
3. Dave can clean pools at a constant rate of 3/5 pools/hour.
a. What is the ratio of pools to hours?
b. How many pools can Dave clean in 10 hours?
c. How long does it take Dave to clean 15 pools?
4. Emeline can type at a constant rate of 1/4 pages/minute.
a. What is the ratio of pages to minutes?
b. Emeline has to type a 5-page article but only has 18 minutes until she reaches the deadline. Does Emeline have enough time to type the article? Why or why not?
1. Once a commercial plane reaches the desired altitude, the pilot often travels at a cruising speed. On average, the cruising speed is 570 miles/hour. If a plane travels at a cruising speed for 7 hours, how far does the plane travel while cruising at this speed?
2. Denver, Colorado often experiences snow storms resulting in multiple inches of accumulated snow. During the last snowstorm, the snow accumulated at 4/5 inch/hour. If the snow continues at this rate for 10 hours, how much snow will accumulate? This video covers lessons 16 and 17. Lesson 17 starts at 16:00
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